Theorems · Theorem · commutative algebra

RingHom.IsStableUnderBaseChange.tensorProduct

∀ {P : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop},
  (RingHom.IsStableUnderBaseChange fun {R S} [CommRing R] [CommRing S] => P) →
    ∀ {R S : Type u} (T : Type u) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T] [inst_3 : Algebra R S]
      [inst_4 : Algebra R T], P (algebraMap R S) → P (algebraMap T (TensorProduct R T S))

Defined in

Mathlib.RingTheory.RingHomProperties

Cited by

1 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingCommRingAlgebraAlgebra